Base | Representation |
---|---|
bin | 101100111000… |
… | …001010010000 |
3 | 211010200200100 |
4 | 230320022100 |
5 | 11002424433 |
6 | 1100052400 |
7 | 201665310 |
oct | 54701220 |
9 | 24120610 |
10 | 11764368 |
11 | 6705820 |
12 | 3b34100 |
13 | 258b985 |
14 | 17c3440 |
15 | 1075b13 |
hex | b38290 |
11764368 has 120 divisors (see below), whose sum is σ = 41086656. Its totient is φ = 3052800.
The previous prime is 11764349. The next prime is 11764369. The reversal of 11764368 is 86346711.
11764368 is a `hidden beast` number, since 1 + 1 + 7 + 643 + 6 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (11764369) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10558 + ... + 11618.
Almost surely, 211764368 is an apocalyptic number.
11764368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11764368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20543328).
11764368 is an abundant number, since it is smaller than the sum of its proper divisors (29322288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11764368 is a wasteful number, since it uses less digits than its factorization.
11764368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1093 (or 1084 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 11764368 is about 3429.9224481029. The cubic root of 11764368 is about 227.4344246053.
It can be divided in two parts, 117643 and 68, that added together give a palindrome (117711).
The spelling of 11764368 in words is "eleven million, seven hundred sixty-four thousand, three hundred sixty-eight".
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